Abstract
A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker-Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 295-305 |
| Number of pages | 11 |
| Journal | Combustion and Flame |
| Volume | 137 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 2004 |
| Externally published | Yes |
Keywords
- Diffusion flame
- Flame hole
- Stochastic model
- Turbulent combustion
ASJC Scopus subject areas
- General Chemistry
- General Chemical Engineering
- Fuel Technology
- Energy Engineering and Power Technology
- General Physics and Astronomy